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Finding the Third Proportional to 5,702.06 and 11,127.94

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Solution

The third proportional to 5,702.06 and 11,127.94 is: 21,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.06 : 11,127.94 = 11,127.94 : x
  2. Step 2: Convert to fraction form
    5,702.06/11,127.94 = 11,127.94/x
  3. Step 3: Cross multiply
    5,702.06x = 11,127.94 × 11,127.94
  4. Step 4: Simplify right side
    5,702.06x = 123,830,993.00
  5. Step 5: Solve for x
    x = 123,830,993.00/5,702.06
  6. Step 6: Final answer
    x = 21,716.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.